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» Approximation schemes for clustering problems
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SODA
2010
ACM
172views Algorithms» more  SODA 2010»
15 years 7 months ago
A quasi-polynomial time approximation scheme for Euclidean capacitated vehicle routing
In the capacitated vehicle routing problem, introduced by Dantzig and Ramser in 1959, we are given the locations of n customers and a depot, along with a vehicle of capacity k, an...
Aparna Das, Claire Mathieu
FSTTCS
2003
Springer
15 years 2 months ago
An Improved Approximation Scheme for Computing Arrow-Debreu Prices for the Linear Case
Recently, Jain, Mahdian and Saberi [5] had given a FPTAS for the problem of computing a market equilibrium in the Arrow-Debreu setting, when the utilities are linear functions. The...
Nikhil R. Devanur, Vijay V. Vazirani
WAOA
2007
Springer
158views Algorithms» more  WAOA 2007»
15 years 3 months ago
Deterministic Algorithms for Rank Aggregation and Other Ranking and Clustering Problems
We consider ranking and clustering problems related to the aggregation of inconsistent information. Ailon, Charikar, and Newman [1] proposed randomized constant factor approximatio...
Anke van Zuylen, David P. Williamson
COMPGEOM
2011
ACM
14 years 1 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...
71
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CORR
2002
Springer
135views Education» more  CORR 2002»
14 years 9 months ago
Randomized Approximation Schemes for Cuts and Flows in Capacitated Graphs
We improve on random sampling techniques for approximately solving problems that involve cuts and flows in graphs. We give a near-linear-time construction that transforms any grap...
András A. Benczúr, David R. Karger